How to integrate a function within a square root

  • Thread starter seanm924
  • Start date
  • #1
1
0

Homework Statement


Find the length of x=y^3/30+5/(2y) on 3 <= y <= 5


Homework Equations



L = integral sqrt(1+(dx/dy)^2)dx

The Attempt at a Solution



I got to the integral upper bound = 5, lower bound = 3, sqrt(y^4/100+25/(4y^4)+1/2)dy. How do I actually solve the integral? It would be find if there wasn't a square root.

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
Mentallic
Homework Helper
3,798
94
Factor out [tex]\frac{1}{100y^4}[/tex] inside the root and see if you can go from there.
 

Related Threads on How to integrate a function within a square root

Replies
21
Views
52K
  • Last Post
Replies
3
Views
578
Replies
3
Views
2K
Replies
2
Views
2K
Replies
3
Views
6K
Replies
3
Views
2K
Replies
4
Views
5K
  • Last Post
Replies
2
Views
5K
Replies
22
Views
44K
Top